-4x(x^2-4)(x-5)=0

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Solution for -4x(x^2-4)(x-5)=0 equation: 


Simplifying
-4x(x2 + -4)(x + -5) = 0

Reorder the terms:
-4x(-4 + x2)(x + -5) = 0

Reorder the terms:
-4x(-4 + x2)(-5 + x) = 0

Multiply (-4 + x2) * (-5 + x)
-4x(-4(-5 + x) + x2(-5 + x)) = 0
-4x((-5 * -4 + x * -4) + x2(-5 + x)) = 0
-4x((20 + -4x) + x2(-5 + x)) = 0
-4x(20 + -4x + (-5 * x2 + x * x2)) = 0
-4x(20 + -4x + (-5x2 + x3)) = 0
-4x(20 + -4x + -5x2 + x3) = 0
(20 * -4x + -4x * -4x + -5x2 * -4x + x3 * -4x) = 0
(-80x + 16x2 + 20x3 + -4x4) = 0

Solving
-80x + 16x2 + 20x3 + -4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-20 + 4x + 5x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-20 + 4x + 5x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-20 + 4x + 5x2 + -1x3 = 0

Solving
-20 + 4x + 5x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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